AP Calculus AB / Differential Equations / Question No. 15

15. If the graph of \( y = f(x) \) contains the point \( (0,1) \), and if \( \dfrac{dy}{dx} = \dfrac{x \sin(x^2)}{y} \), then \( f(x) = \)

\( \sqrt{2 - \cos(x^2)} \)

\( \sqrt{2} - \cos(x^2) \)

\( 2 - \cos(x^2) \)

\( \cos(x^2) \)

Answer is: option1

\( \sqrt{2 - \cos(x^2)} \)

Solution:

\( \sqrt{2 - \cos(x^2)} \)

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Home Practice Questions AP Calculus AB Differential Equations Question No. 15